But while Citigroup is looking for buyers of a $12 billion package of loans and bonds, Deutsche Bank may sell its debt in parcels, the newspaper said in its electronic edition.

Deutsche Bank declined to comment to CNBC Europe.

Some of the same private equity firms are talking to both banks, the Journal said. The firms talking to Citigroup include Blackstone Group, Apollo Management and TPG. Deutsche Bank is also talking with an affiliate of Bain Capital, the paper added.

More Writedowns for Credit Suisse?

Credit Suisse could announce further writedowns of up to 5 billion Swiss francs ($4.99 billion) when it posts its first-quarter results later this month, Swiss media reported over the weekend.

Swiss newspaper Tages-Anzeiger reported on Saturday the bank could face a first-quarter loss of up to 2 billion francs and further writedowns of around 4 billion francs, according to its own research.

NZZ am Sonntag said on Sunday the bank would announce writedowns of between 3 billion francs and 5 billion francs when it posts its figures for the first quarter on April 24, without giving any sources.

Credit Suisse has so far written down 5.8 billion francs and last month said it could report its first quarterly loss in five years as unprecedented market conditions in March had introduced new uncertainty.

Credit Suisse declined to comment to CNBC Europe.

Another Swiss bank hit hard by the credit crunch, UBS, seems to see the light at the end of the tunnel as its chief executive Marcel Rohner said in an interview with Swiss Sunday paper SonntagsZeitung that the worst is behind.

"We are approaching the end of this episode," Rohner told the paper. "Now it is about winning back the destroyed trust on the customer side."